## anonymous one year ago .

1. anonymous

2. anonymous

3. anonymous

4. anonymous

I picked C am i correct?

5. anonymous

@Michele_Laino

6. anonymous

If not, what is the correct answer, and why? Thanks

7. Michele_Laino

we can simplify your function. For example, we can factor out 9 at numerator and 3 at denominator, so we can write this: $\Large \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}}$

8. anonymous

okay i get it so far....

9. Michele_Laino

can you simplify that expression further?

10. anonymous

Need a bit of help

11. Michele_Laino

12. anonymous

kk doin it now...

13. Michele_Laino

we have to factorize the numerator

14. anonymous

9 (x-1) (x+2)

15. Michele_Laino

in order to do that, we have to find two numbers such that their sum is -1 and their product is -2

16. Michele_Laino

can you find them?

17. anonymous

9 (x-1) (x+2)

18. Michele_Laino

ok! sorry,then the simplified expression of our function is: $\Large \begin{gathered} \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}} = \hfill \\ \hfill \\ = \frac{{9\left( {x + 2} \right)\left( {x - 1} \right)}}{{3\left( {x + 2} \right)}} = 3\left( {x - 1} \right) \hfill \\ \end{gathered}$

19. anonymous

k

20. Michele_Laino

namely we have to search for the graph of the function: y= 3x-3

21. anonymous

so the slope is 3 right?

22. Michele_Laino

correct!

23. anonymous

and the y intercept is -3?

24. Michele_Laino

right!

25. anonymous

so its D?

26. Michele_Laino

if I set y=0, then I get x=1, so our line has to pass at point (1,0)

27. anonymous

SO its D

28. Michele_Laino

furthermore if I set x=2 then I get y=3, so correct!! :)

29. anonymous

kk thanks can u help me with a couple more?

30. Michele_Laino

I'm very sorry I have to go to sleep now, since it is 00:20 (Italy time zone) from me

31. anonymous

ah okay well then goodnight from the United States!

32. Michele_Laino

thanks!! from Italy :)